{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import required modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:22.527934Z",
     "start_time": "2020-07-02T18:10:22.523390Z"
    }
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../')\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from porousmedialab.batch import Batch\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initiate the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:22.532724Z",
     "start_time": "2020-07-02T18:10:22.530276Z"
    }
   },
   "outputs": [],
   "source": [
    "bl = Batch(tend = 30, dt = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add titrand in the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:22.539579Z",
     "start_time": "2020-07-02T18:10:22.535189Z"
    }
   },
   "outputs": [],
   "source": [
    "C_init=0.1/4\n",
    "bl.add_species(name='H3PO4', init_conc=C_init)\n",
    "bl.add_species(name='H2PO4', init_conc=C_init)\n",
    "bl.add_species(name='HPO4', init_conc=C_init)\n",
    "bl.add_species(name='PO4', init_conc=C_init)\n",
    "\n",
    "bl.add_acid(species=['H3PO4', 'H2PO4', 'HPO4', 'PO4'], pKa=[2.148, 7.198, 12.375])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add Titrant: $Na^+$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:22.544334Z",
     "start_time": "2020-07-02T18:10:22.541566Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.add_species(name='Na', init_conc=0)\n",
    "bl.add_ion(name='Na', charge=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Slowly increase the concetration of titrant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:22.548370Z",
     "start_time": "2020-07-02T18:10:22.546016Z"
    }
   },
   "outputs": [],
   "source": [
    "bl.dcdt['Na'] = '1e-2'  # units of mass per units of time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:23.529470Z",
     "start_time": "2020-07-02T18:10:22.550188Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation started:\n",
      "\t 2020-07-02 20:10:22\n",
      "\n",
      "\n",
      "Estimated time of the code execution:\n",
      "\t 0h:00m:01s\n",
      "Will finish approx.:\n",
      "\t 2020-07-02 20:10:23\n"
     ]
    }
   ],
   "source": [
    "bl.solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:24.710396Z",
     "start_time": "2020-07-02T18:10:23.532123Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n",
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_profiles()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:24.916558Z",
     "start_time": "2020-07-02T18:10:24.712004Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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v11/qKNhb2TOz1ky+2/cdCy8u5Ifqxh0UsOveLnbc2WHQbbYq3ooWRVMvzaCPhIQEkpKSsLOzY8OGDfTr1488efIAYGlpybhx42jVqhW9e/cmODiYLVu2MGTIEP7880+D7P9z5MZfpp/YSF2dnRKNoWh96XK4FtdV+rywWnfBObXJ4bOBJ3FP2CpupWWxlhRwKiB1HADK5ylPt1Ld2HBjA18W+JIaHjWkjmQUn6vqeffu3Xe/t7CwoFu3bhQsWJCQkBDatm37wTZy5MhBfHw8sbGxTJ8+nXnz5nHv3j2jZ5cbf5l+3tXqnyF1Eqg7Bq5uhZOLoOmPUqeR3Kqrq9CipV9ZA9ZWMoDB5QdzPOw4P5z+ge0tt+Nk7WSU/bQo2uKDXropyzt8rqrn29M+/5U3b17CwsIoVarUu9/FxsZibW3N6dOniYyMZMSIEcTExBAREcGqVavo06ePUbLL5/xlqXtbq79SL3ArIXUayF0EynfWZXqZcsGsrC4sNoztd7fTpngb8ufIL3WcD9ha2jKr5iyexT9jzrk5UscxCx07dmTZsmVERuquWalUKmbNmkWHDh1o2LAhu3btYuPGjUyYMIFq1aoZreEHufGX6eOfSWDjqJtf11zUGa0bdnpigdRJJLUicAVKlPTxMV4jkRE+bj70LduX3fd3s//hfqnjSK506dKMGDGCESNG0LFjRzp16kThwoXp3bu3ybPIVT0zCcmO5c6/uklVGs6CGoYpEmawY9nzva73P/gi5C6c8WBpJPXr61HMI1rsbEHHkh0ZWyVjk+gY81hUGhXd93XnYcxD/mrxF/kc8mV4m3JVz4+ZRVVPQRCUgiAsFwThjCAIRwVBKPafx0cJgnBJEIQLgiDoVwdYZnrqZPhnIuQqDFXMsGdZ+3tQWMDx7Hnef1ngMqyUVvTyMe+ZzqyUVsyuPRuVRsWkU5PQaDVSR5JhvNM+3wC2oihWB8YBC98+IAhCTmAoUB1oCCwxUgZZRl3eAJG3dBOyW9pIneZjTvl1UzwG/g7P7kqdxqTuv7zPnvt76FiyI652rlLHSVVBp4KMrjyac4/P8dvN36SOI8N4o31qAfsBRFE8KwjC+x874oBgwOHNV6rdAK1W++5jaVqoVFlndiGTH0tCDFZHZqP1qk5y0UaQjv//zzHosVQZhNWl9WiOzEbdcrnhtqsHKV9fflf8sLO0o7PQOV1/G/9limNpUbAFR4KPsOTSEiq6VqRYzmKpr/QZWq323SmRTz0GfPbxzCQtx5LWdtJYPX8n4P3yi2pBEN5/owkBbgCXAflefTNkcWYJitfPUH85w3i1+g0hRx40FXuhDNqum/ErG7jz4g4HHx2ko9CRXDa5pI6jN4VCwQ9VfyCHVQ4mn5lMktpwHQpZ2hmr5x8DOL73s1IUxeQ33zcB3IG3V+gOCIJwShTF85/bmEKhyNCFqKxwwfctkxzLi4dwfgWU64hVwcpG243BjqX2CLi8DutTC6DdBsNsMw1M/fpaGbQSRytHevj0MPi+jX0s+azzMb3mdAYfHszKoJWMrDQyXdtRKBSfvQiaXS/4prWdNNb/zimgKYAgCNWAa+899gKIBxJFUUwAXgI5jZRDlh7/TtVdSG0wWeok+nFwgWoD4MZOeHIt9eUzsaCoIA6HHKZr6a442zhLHSdd6nrVpW2JtqwPWp/li7+ZM2M1/juABEEQTgOLgRGCIIwUBKGFKIongAvAWUEQzgC3gYNGyiFLq0dndbVzag4FZw+p0+iv+iCwcYYjWftmoqUBS3GydqKLdxepo2TI6EqjKeBUgIknJxKTFCN1nHQ5d+4c1atXf1e9s127du/u6t23bx+dO3ema9eudOzYkZ07d360/uTJk9/dESwFo5z2EUVRA/y3wtSt9x6fAkwxxr5lGaDRwL6x4OgONYZKnSZt7HLp3gCOzoawy+BRQepEBhcYGcjx0OMMqzAMR2vH1FcwY/ZW9sypNYeu+7oy+9xs5taeK3WkdHm/vENSUhKNGzfGxcWFLVu2sHz5chwdHUlISGDo0KHY2NjQpEkTAP744w9u375N5crGO62amixd20er1ZKUrCELnfI3rsDN8DgAWq00fa1+Q6g2AM4tgyOzocs2qdMYnP8Vf3Lb5qZTyU5SRzEIHzcf+pXtx9LApdTxqEPTIk3TtZ2XO3cS/df2dz+/vW01I8MUnNu0Juc336RpndjYWJRKJVu3bmXUqFE4OureoG1tbRk7dixTpkyhSZMmXLlyhcDAQNq3b8/9+/czkDJjMv8VkRQcEZ9Rac5R9lx9LHUU85cQA/9OA8/K4POt1GnSx9ZJ94nl7kEI+ez4gUzp0tNLnHl8hp5lemJvZS91HIPpU7YP5dzKMePsDEJeZb46TW+renbr1o3Ro0czefJkIiIiKFDgw+qqXl5ehIeHExERgZ+fHz/8YIK5r1ORpXv+lQvlpHR+Jwb/fpknMaXoVcv0JQAyjRMLIC4COv4BmXmURJW+uqkej8yCbv+TOo1BaLVa/K744WrnSjuhndRxDMpSacm8OvP4dte3jDs+jvVN1mOltErTNnJ+880HvXQpq3oCrF+/nrCwMJyd//+C/MOHD3F3d2f//v28ePGCvn37EhkZSUJCAkWKFKF169ZGz/pfmfivPHWOtlas/64CDUvlZcbuG8zcfQONxvxrGZlc1D3dxOjlOoFnRanTZIxNDt3cwvePwsNTUqcxiHNPznHx6UV6+/TGztJO6jgG55HDgyk1pnD12VX8r/hLHSfDunbtyvz584mNjQUgLi6O+fPn07lzZ7p168b27dvZuHEjffv2pVmzZpI0/JDFe/4AtlYWLO1ckRm7b7D65AOexCSwqJ0v1pZZ+n0vbf6ZpCvf8GUWuQZfuRec/kXX++++x7xvUkvF215/Xvu8tC3RNvUVMqlGhRpxJvwMa6+vpap7Varnry51pHRr0KABsbGx9O7dG4VCgUajoW3btjRtmr5rGsaS5Rt/AAulginNS+HubMucfbeIS0xmWZeK2FpJNBWhObl3GMS98OVUcMx4tUWzYGWnK/q2b7TuE4CUM49l0MmwkwRGBjK52mRsLMywvpIBja0ylisRV5hwcgLbmm/Dxc5F6kgpqlq1KlWrVv3kYy1atKBFi5SngZSqx/9Wtun+KhQK+tUtyuxWPhy9HUmPdReIS0xOfcWsTJ0M+8frqnZWGyh1GsOq0A2cPHS9/0xQtvxTtFot/gH+eOTwoFWxrF/81s7Sjvl15hOTGMPEUxPl6p9Glm0a/7c6VS3AonblOP/wOd3WnicmIesUf0uzi2t1VTsbzTLPqp0ZYWULdUZB6AW4kznvITwScoSgqCD6le2HlUXaLoJmVkJugVGVR3Eq7BQbb3w8DaLMcLJd4w/Qqrwnfh3LczX0JZ1WneXl62xYYOr1c12vuEg9EMzrXKTB+HaBnAUyZe9fo9XgH+BPQaeCNC/aXOo4JtVB6EB9r/osubyEoKigzy6XGSaiMpX0/F9ky8YfoImPOyu7VuL2k1i+y46fAI7MhsRX0GhOpr4gmiJLa6g7VnfjmrhX6jRpcjD4ILdf3KZ/uf5YKrPFpbl3FAoF02tMx8XWhTHHxhCnivtoGVtbW6KiouQ3AHQNf1RUFLa2tmlaL9tP4/jvjaf033SJcl45+bVnFRxszPMPzaDT7D0NguW1oHJvaGr6WbBMOv2hOhn8q+guAvc7YdB7GIx1HGqNmta7WqNAwV8t/sJCafyBCVJPSfkpF59cpNc/vWhcqDFza89F8V4nRaVSERoaSkJCwkfrvW3TFFmgU6Pvsdja2uLp6YmV1YenB1OaxtE8WzoT+rJUXn7pWJ7Bv1+h14YLrOteBTvrLDwKSKuF/ePA1hnqjZc6jfFZWOomnt/eB27+D0qb/4XTfQ/3cT/6PgvqLjBJw2+uKuWrxMByA/EL8KNi3oof3OBmZWVF4cKfvmnTHN/I0suYx5JtT/u8r4mPO4valePcg+f03XiRxGS11JGM59YeeHAc6k8E+9xSpzGNMm3AVdBV/NSY93ObrElmeeBySuQqwVcFv5I6juT6lO1Dzfw1mXt+LjeibkgdJ0uRG/83Wvp6MK9NWU7cecbILYFZ805gVYJuQnY3b6jYQ+o0pqO00PX+n4lw/S+p06Ro9/3dBMcEM9B3IEqF/OepVCiZXXs2uWxz8f3R73mV9ErqSFmG/Op6T7tKXkxoWpI91x4zffeNrHcx6exS3SxdTebqTodkJ6W+gbxl4Ohc3XUAM6TSqFgeuJxSLqVo4NVA6jhmI7dtbhbWXciTuCdMPjU56/1dSkRu/P+jT+0i9KpVmPWnH7L8mHTlVg0u5jEcXwAlm+mGd2Y3SqXuGsfze3B1i9RpPmnn3Z2ExYYxyHdQlrhYaUi+eXwZXnE4hx4dYtPNTVLHyRLkxv8/FAoFE5t607xcfubtv8W2S6FSRzKMf6eCRgUNZ0idRDolvwZ3Xzg2D9TmNbQ3SZ3EyqsrKetWltoetaWOY5a6lepGfa/6LLq4iMDIQKnjZHpy4/8JSqWCBd+WpWYxF8b+dZUjYoTUkTIm+Axc/QNqDIHcRaROIx2FQneh+2UwXDGv3uO229t4EveEwb6D5V7/ZygUCmbUnEFeh7yMOjaKlwkvpY6UqcmN/2fYWFqwvEtFhLyODNx0mWuh0VJHSh91MuwdBU6eumJn2V3xr3QT1hxfAMmJUqcBICE5gdXXVlMxb0WquVeTOo5Zc7ZxZmG9hUTFRzH+5Hi5/k8GyI1/ChxtrVjfszK5Hazp8+tFImI+vqHE7F1cC0+vQ+PZYO0gdRrpKRRQfwLEhMKlDVKnAWCLuIXI+Ei516+n0i6lGVt5LCfDTrL62mqp42RacuOfijyOtqz+rhIxCSr6/HqRBJV5jxP/QGwkHJmpu8DrnXJ52WylSH0oUANOLARVvKRRXqtes/b6Wqq5V6NSvk/eiCn7hHZCO5oWborfFT9Ohp2UOk6mJDf+evB2d2JJe1+uhkUzetvVzDPU7NBUSIqDJj9m3fo96aFQQIOJEPtE98lIQptvbeZ5wnMGlx8saY7MRqFQMLXGVIrnKs7Y42Mz5fy/UpMbfz01LJ2P0Y0E/g4Mx+/wXanjpC7kgu6iZrWB4FZC6jTmp1AtKFwXTi7WvUFKIDYplvVB66ntUZtybuUkyZCZ2VnasaT+EgCGHxnOa9VriRNlLnLjnwYD6haldXkPFh68zb5rj6WO83kate4ir6M71B0jdRrz1WASxEXC+ZWS7H7jzY1EJ0YzqPwgSfafFXg5ejGvzjzuvLjD1DNTM8+ncjMgN/5poFAomN3ah/IFcjJyayBB4WY6AujyBl0Z44YzwcZR6jTmy6sKFPsKTv0ECTEm3XV0YjQbgzbSwKsBpV1Km3TfWU0tj1oMKT+EfQ/2yRPApIHc+KeRrZUFK7tWwtnOiv6bLhH92rxuFuL1czg0HQrW0hU0k6Ws/niIfwHnlpt0txuCNvBK9YqBvlls+kyJ9PbpzRcFvmDRpUVceHpB6jiZgtz4p4Obow1Lu1TgSXQCw7dcMa8icIem63qxTeWLvHrxqKibyey0n+5NwAReJLzgt5u/0ahQI4Tcgkn2mdUpFApm1pxJAacCjD81nidxT6SOZPbkxj+dKhTIxQ/NS3NEjOQXc7kAHHYZLq2Hqv0gbymp02Qe9SdAYjScWWqS3a27vo4EdQIDy8m9fkPKYZ2Dn+r/RJI6iVEnRxGfLO0wXnMnN/4Z0KVqAVqX92DJodsclboEhEYDe0eDg5uufLFMf/l8oFRLOLtMd9rMiJ7FP+P3W7/TtHBTiuTMxqU2jKSwc2Fm1pjJree35AqgqZAb/wxQKBTMauWDkNeRYX8EEPJcwqFmAb9B2EVd4TZbZ+lyZFb1xkNSrO7irxGtubYGlUZF/3L9jbqf7KyORx2GlBvCgYcHWHF1hdRxzJbc+GeQnbUFK7pWRKPVMuC3S9LcARz/Qle106salG1v+v1nBXm8waetbthnrHE+xT2Ne8pWcSvNizanoFNBo+xDptPNuxvNizTHP8Cfg8EHpY6TLpqkJGL+twtNbKxRti83/gZQ0MWBJe19uR4Ww7S/JZhq7vAsiH8uX+TNqLrjIDkBTurpQf4AACAASURBVC4xyuZXXVuFRquhX9l+Rtm+7P8pFAqm1JhCWbeyTDw5kZtRN6WOlCZJoaEEd+pM5OTJJIq3jbIPozT+giAoBUFYLgjCGUEQjgqCUOw/jzcRBOHsm6+lgiBk+hbrC++89KtbhN/PP2LPVRPeABZ2GS6shsq9wb2s6fabFbkWg7Id4OIa3eQ3BhQeG85fd/6iVfFWeDp6GnTbsk+zsbDhp/o/4WzjzJDDQ3gW/0zqSHp5dfgwD1q3ISk4mHxLFmNXsYJR9mOsnv83gK0oitWBccDCtw8IguAI/Ag0E0WxGvAQcDVSDpMa1VDA1ysn4/66aprz/xo17B4OOfLq7laVZVzdMaBJ1hV9M6CVV1eiQEHfsn0Nul1ZylztXPm5/s/EJMUw7MgwEtXmUcb7U7QaDRE//UTowEFYe3pSePtfODQw3nSexprItRawH0AUxbOCILxfrrAGcA1YKAhCEWC1KIqRKW1Mq9WSlJSU5hAqlelvwFrUtgwtl51l0G+X+L13ZawsDPP++qljUV5YheXjQJK/WYVGaQfp+D+SghTPi95yeGBRtiPKyxtQVRkIzp/vpet7HCGvQth5dydti7clt1XudL2Wjc2sn5M0+u+xFHUsyrRq0xhzcgyTT0xmRvUZZlc6W/3qFRHjJ/D6+HEcW32D64QJYGNj1OfFWD1/J+D92gdqQRDevtG4AvWBsUATYLggCFmm8phnLjtmtSzF1bAYFv9rxPH/r55gcWw2miL10Xi3NN5+siF1zZEAWJxabJDtrbq+CkulJT1K9TDI9mRp94XXFwzwGcC+4H2suG5eI4CSHjwgrHMXXp8+jeuE8bhNnYrSxsbo+zVWzz8GeL+ojFIUxeQ330cBF0RRfAIgCMJxwBf47FUNhUKBtbV1usNkZN30aFHei3MPX7L6VDC1SuShnpDHYNt+dyyHp4BahaLZIqxN8EIxBlM/L3pzKwIVvsPi0jos6oyE3IVTXDyl47gffZ99wfvo6t0VD2cPQyc1OLN9TtLhv8cyoPwAnsQ/YdX1VXg5edGqeCuJkv2/V4ePED56NApbWwquW4t95cqfXM4Yz4uxev6ngKYAgiBUQ3ea561LQBlBEFzffBqoBkgwRMa4JjcrRcl8jny/NdDwM4Dd/ReCtkOdUdl7Tl5jqv09KCzg+I8Z2szygOXYWNjQ06engYLJ0kuhUDC5+mSquVdj+pnpnAk/I1kWrVZL5NKlhA4ciHWhQhTe9udnG35jMVbjvwNIEAThNLAYGCEIwkhBEFq8Ob8/HjgAnAO2i6J43Ug5JGNrZYFfp/LEJSXz/Z+Bhqv/o4qHPaPApRjUHGaYbco+5uQOlXtB4O/wLH2n7+68uMP+h/vp7N2Z3La5DRxQlh5WSisW1VtE4ZyFGXl0JLdfGGcYZUo0iYmEjxrNs59/wbllSwr+tgkrd3eT51Bkhtufb968qfX29k7zem8vrEn5UXbT2WAm7bzO1Oal6F4z5dMHKXl3LCd/hOPzodsuKFLXUDFNyhyeF73ERsBP5aDk19Dm47liUzuOEUdGcPbxWfa32Y+zjXnfdZ1pnhM96HMsT+Ke0GlPJyyUFvzW9Dfy2Bvu1GxKkl+8IHTQYOIvX8bt+5G49O6d4sXnjD4vly5dulSxYsVPzg+qV89fEISvBEHYJwjC4bdf6UqSDXWuWoD6ghtz9t3iztNXGdvYszu6mafKts+0DX+mkiMPVOkD17ZBxK00rXoz6ib/PvqXrqW6mn3Dnx3lc8iH/xf+xCTGMOjQIOJUxp/NLenhQx526EDC9et4LFmMa58+ko460ve0z2J0Y/UHvPcl04NCoWBe27I42FgyYmsAScma9G1Iq8XywBiwttdN0iIzjRrDwNoBjs5J02r+Af44WTvRtVRXIwWTZZS3izcL6i7gzos7jDo2CpXGeMMqX1+8yMP2HdDEvKLAhvU4NW5stH3pS9/G/5Eoiv+K7zFqqiwmj6Mtc1r7cD0shp8Ope8cozJoG8rgk/DlVF2PVGYaDi5QbQDc2AlPrqW+PHAt8hrHQo/RvXR3HK3lmdTMWW3P2kysNpGTYSf54dQPaLTp7JylIPrv3Tzq0ROL3LkptOUP7MuXN/g+0kPfoZ4RgiAsB64AWgBRFKWZ+DSTalQ6H+0qebLs6D3qC3moVCgNFwBfP8fi3x/Q5K+IskJ3o2WUfUb1QXBuJRyZAx03p7q4f4A/uWxy0cm7kwnCyTLq2xLf8jz+OX4BfuS0ycmYymMMdjomas0aIn5cgH3lynj+8jMWOXMaZLuGoG/P/wHwGMgHuL/5kqXRD81L45nLnhFbA3iVkIaPmAcmQsJL1E0XgVKuxWdydrl0bwDiHl0tpRRcibjCqfBT9CjTAwcrBxMFlGVU37J96ezdmU03N7Hm+poMb0+r1fJ0/o9E/LgAp6ZN8Fqz2qwaftCz8RdFcRpwEYgHAt78LEujHDaWLG5fjrAX8UzXt/rnvcMQuBlNtSFo88izc0mm2gDdm8CR2Sku5nfFDxdbFzqU7GCiYDJDUCgUjKk8hqaFm/LT5Z/YdntburelTU7m8YSJPF+7llydOpF/wQKUZjiKSt/RPnOAHkAS8J0gCAuMmioLq1gwNwPrFePPS6Hsv57KPKNJcfD3cHAphrrWSNMElH2arRPUGAp3D0LI+U8ucv7xec4/OU9vn97YWdqZOKAso5QKJTNrzqSmR01mnJ3Bv8H/pnkbmoQEQocOI3rHDlwHDybv5EkozPTTur6p6oii2FYUxSVAG6C2ETNlecO+LE4ZDycm7bzG87gUinwdnQMvg6H5z2Bpa7qAsk+r0hfsXeHIrI8e0mq1+Af4k8cuD98K30oQTmYIVhZWLKq7CB9XH8YcH8P5x59+o/8U9atXhPTuQ+yRI+T9YTJugweZXQG59+nb+FsJgvB2WQVvLvrK0sfKQsmCb8sRHa9iyq6gTy8UfgXO+EPF7lCopknzyT7DJgfUGgH3j8LDUx88dCb8DJcjLtOnbB9sLDJnrSWZjr2VPf5f+FPAsQBDDg8hMDIw1XXUL1/yqEdPXgcG4rFwAbk7mf/Ffn0b/y3AKUEQFgMn3/wsy4CS+ZwY2qA4fweGs//6fyYOUatg1xBwyANfypdXzErlXpAjn673/+bueK1Wi1+AH+4O7rQu3lrigDJDcLZxZmXDlbjYuTDg4ABuRH3+Gl3y8+cEf9edxNu38fzlZ5yaNjVh0vTT94LvQqAPuoJtfUVRNEyt22yuf72ilM7vxKSd13nx/umfM/66MeVNfwQ78xohkO1Z2emKvgWfQvHwOAAnwk5w7dk1+pXth7WF+V3Yk6VPHvs8rGm4BkdrR/oe7PvJOkCqiAiCu3YjKTgYz2VLcaxXz/RB0ynFxl8QhN5v/p0DdAIqAJ0EQUh5yINML588/RN1T3euv2QzKNVC2oCyT6vQDZw8sDg+F61Gg98VPzxzeNKimPx8ZTXuOdxZ3XA1NhY29PmnD/ej7797TPX4McFdu6J6/BivlSvIUTNznZ5Nrecf8ubfW4D43lfaCp3IPsvb3YkhDYqzKzCc/dce66ZltLDW9fpl5snKFuqMQhl2kaOXfuLm85v0L9cfK6WV1MlkRuDl5MXqhqtRoKD3gd48inlEUmgYwV26oo56ToHVq3GoUkXqmGmWYuMviuKBN99WFkVxw9sv4EvjR8s+BtQrSil3J67sWAQPjsNX08Epv9SxZCnx7YLauQDLb2+mkFNBvi7ytdSJZEZU2LkwqxuuJlmTzOgt3bnfrQvq2FgKrFuHfQXzKNeQVimWdxAEYRAwCcgtCMLbK1lK4DNDVGTpYWWh5KfGuXHf/CuiQ0WEit2ljiRLjaU1+32+5m7YHua5VcdSaaxJ8WTmoliuYqwoN5uInv14Ha/FbdVS7HzKSB0r3VLr+fuLougOTBNFMf+br3yiKH5honzZg1ZL8bPjsbZU0vN5Nw7ceCp1Ilkq1Bo1y2OCKKqGRtf2gMbwBcFk5kX19ClWw2fglmTDwi456BU8m5CYkNRXNFP6DvW8LgjCdABBEPYLgtDQiJmyn0vr4MExlA1n4uRelMk7rxMdb7zysrKM2/tgLw9fPaRf4VZYPA2Cm/+TOpLMiFQRETz6rjvqZ1EUXrOWiT3WE58cT/cD3XkQ/UDqeOmib+M/FfB78337Nz/LDOHlI/hnMhSui2WVnsxvU5ZnsYnM3SdfUzdXyZpklgcup0TOEtSvNhZcBV3FT41a6mgyI0h+9oxHPXqiiojAa9VK7Hx9KeVSijWN1pCsSabH/h7cfZG+qT6lpG/jrxJFMQJAFMVoQH6VG4JWq7uZC6DFL6BQ4OPpTK9ahfn9/CPO3Y+SNp/sk/6+9zePXj2iv09/lBZWUG8cPBPh+l9SR5MZmDo6mke9eqMKD6fAiuXYV6jw7rESuUqwrtE6lAolPQ/0RHyeuaY50bfxPy8IwmZBEIYIgrARXV1/WUZd3qArFfDVdMhV8N2vR3xVAs9cdozffo0Elfw+a05UahUrrq6gtEtp6njU0f2y1DeQtwwcnQvqZGkDygxG8/o1If36k3T/Pp5+v2BfufJHyxTJWYR1jddhbWFNzwM9CXqWecbC6Nv4DwW2AvbAn6IoDjVepGziZQgcmASF60DFHh88ZG9tyexWPtx/Fof/kcz3cTIr23F3B2GxYQzyfa9ol1IJ9cbD83twVa58khVokpIIHTKU+KtXyb9wQYo3cBV0Ksj6xutxtHak9z+9ufjkogmTpp++jX8uwA7dhC65BEEYb7xI2YBGozvdo9XoTvd8ouRrnRJutC7vwbKj97j1JEaCkLL/SlQnsvLqSsq5laOWR60PHyz5Nbj7wrF5utpMskxLq1YTPnoMcadO4T5jOk4NUx/f4unoyfrG63Gzd6P/v/05GnLU+EEzSN/GfxtQF+gHdANqGC1RdnBhNdw/Ag1nQK5Cn11sUrNSONlZMe6va6g1ciFVqW27vY2nr58yuPzgj0v1KhRQf6KuBPeVTdIElGWYVqvl8ZQpvDpwgDxjx5KzTRu9183nkI8NjTdQPGdxhh8Zzs67O42YNOP0nmVAFMX+6Eo7fIXuk4AsPSJFODgZijeESj1TXDS3gzVTmpciIOQlv53PvOOJs4KE5ARWX1tNpbyVqJqv6qcXKv4VeFaG4wsgOdG0AWUZptVqiZj/I9Hb/sJlQH9cenRP8zZy2eZidaPVVM5XmcmnJrP++nqD5zQUvRt/QRBsAQd0tfxzGC1RVpacBNv7gLUDtPDT9RZT0aJcfuqWcGPRv3cJfxlvgpCyT9kibuFZ/LMPz/X/l0IB9SdATChc2mDagLIMi1q5iufr1pGrc2fchqb/sqaDlQP+X/jTsGBDFl5ayKJLi9Bqze+Tu76Nvz8wHPgHXbE3eRB6ehybC48DdTNzOebVaxWFQsGsVrpbyKfuvmWWL6Ks7rXqNWuvr6WaezUq5auU8sJF6kOBGnBiIajkN+vM4uXOnUQuXoxTs2bknTghwzNwWVtYM7/OfNqVaMe66+sYd2IcSeoUZu2TgL6Nv60oinNFUVwDlBJFUZ6dOq0enYWTi6F8F/BulqZVPXPZM6xBUY7efsaBoFTm/ZUZ3OZbm3me8JzB5QenvrBCAQ0mQuwTuLjW+OFkGRZ76hSPJ03Gvlo18s+eZbA5dy2UFkyqNolhFYax98Fe+vzTh5cJLw2ybUPQ9yj7vv1GFEV56ElaJb6C7X3B2Qsaz03XJrpW9aJkvhxM3XWD2ER5LLmpxCbFsj5oPbU9alPOrZx+KxWqBYXr6t7sk+KMG1CWIQk3bxI2dBg2RYrg+cvPKKwNOxmPQqGgt09v5teZz/Vn1+myrwuPYh4ZdB/ppW/jbyMIwhVBEP54c7PXZqOmymr2j4PoEGi9Emwc07UJSwslM5qX4umrBJYc/HhGIZlxbLq5iejEaAb5Dkrbig0mQVwknF9pnGCyDFOFhxPStx9KR0e8Vq7AwjF9f5v6aFK4CasbrSY6MZrOezsTEBFgtH3pK7WZvCa9+XYs8COwDFjx5kumj5u7dUP/ao2AAtUytKlyXs50rFKAdacfEhQebaCAss+JTozm16Bfqe9Vn9KupdO2slcVKPYVnPoJEuQPy+ZGHR3No7590SQk4LVyBVb58hl9n+XzlOe3pr/hbONMrwO92P9gv9H3mZLUev4NAERRPAb0FkXx2Nsv40fLAmIew99Dwb0c1B1nkE2ObVSSnHZWTNxxHY089t+ofr3xK69Ur9Le63+r/niIfwHnlhs2mCxDNImJhA4ajCr4EZ5+ftiWKGGyfRdwKsCmJpso41qG0cdHszRgKRqtNOXAU2v8FZ/5XpYajVo3rFMVD61Xg6VhziU621sxqZk3ASEv+f2CeZw7zIpeJrxk041NNCzYECG3kL6NeFQEoSmc9tO9Ccgkp9VqeTx+Aq8vXsR9zhwcqpp++sWctjlZ1XAVLYu2ZFngMoYdGUZsUqzJc6TW+Gs/832KBEFQCoKwXBCEM4IgHBUEodhnltknCEJ/fbebqZxYCA9PwNcLwc2wPYtvfD2oXsSFeftuEflKvpnIGNYFrSM+OZ4B5QZkbEP1J0BiNJxZaphgsgx55udPzN69uI0ciXMz6abetLawZkbNGYyvMp4ToSfotLeTyecFSG3uuYqCIJxG1+sv9d73WlEUUyrx8A264aHVBUGoBiwEWv5nmZlAbn1CarVakpLSPkZWpZKmxori0Wksj85BU+Zb1N5tIB3Z/+u/xzKlmUBz/zPM2B3EgjaZayo5qZ4XfUXFR7H55mYaFWxEAYcCn33t6XUcuQUsSzZHcXYpqgq9wF6vl7zJmftzkhafO5ZX+/bxzN8fxxYtcPyuW7raFENrW7QthXIUYuypsXTc05FZ1WdR26P2u8eN+byk1vMvC3QEOvzn+46prFcL2A8giuJZ4IM7YwRBaAtogH1pj2zmXj/H8n/9IVch1I3m63UXb3oUcXWgb61C7Ap8zJn7z42yj+xqw80NJGmS6Fumb+oL60FdewwkxWFxzi/1hWVGkRB4lcjJP2BboQJuP0zO8E1chlQpbyU2NdqEZw5PRhwfwerrq01yHSDFnr8oisHp3K4T8P5wFLUgCJaiKCYLglAG6AS0BX7QZ2MKhQLrDIy/zci6aaLVwt7h8DoKeh3E2tHwvbz3j2XIlwK7rz9l2p5b7BtWGxtLC4Pvz5hM9rykQcTrCLbd3UbzIs0p7lpcr3VSPQ6PsuDTFouLa7CoORRy5DFAUuMwx+ckvd4eiyo8nCcjRmCZNy9e/n5Y5jC/6jQFrQuyselGpp2ZxrJry7j54iYza83EzsoOMM7zYphb2T4WA7w/aFYpiuLbO5O6AR7AYaA7MFIQhMZGymFa55bD7X3w1QzI72v03dlaWTC9ZRnuR8ax4th9o+8vO1h9bTVqjZp+5foZdsN1x0JyApxcYtjtylKkjo0jZMBAtAkJeC1bimUu861JaWdpx5xacxhXZRwnw0/Sfnd7bkTdMNr+jNX4nwKaArw553/t7QOiKI4RRbGqKIr1gPXAIlEUpR3wagihl3Rz8ZZoAlUN3HCkoG4JN74u647/kbuEPH9tsv1mRY9jH7Pt9jZaFmuJl6OXYTfuWhzKdoCLa3RDgGVGp6vLP5rEO3fwWLwYm2IfjTsxOwqFgs7endnQeANqrZqe//bk1nPjlFIzVuO/A0h4c4F4MTBCEISRgiC0MNL+pBX3DLZ2BSd3+Gap0c7zf86kr72xUCqYvtt4vYTsYOU13d24/coa6c277hjQJOtGgsmMLmLhImKPHCHvxAnkqF0r9RXMSFm3svzZ7E++8/4OFzsXo+wjtdE+6SKKogb47xDOj96+RFGcaoz9m5Q6Gbb1eHOe/x9JRnO4O9sxpEFx5u2/xRExgvqC+Z5TNlchr0LYeWcnbUu0xT2Hu3F2krsw+HbWzd1ccxjkNPCnC9k7r/bs4fnateTq1JHcnTtLHSddctrmZEDZDA41ToGxev7Zx5GZ8OC4bjy/u56Fv4ygV63CFHFzYNquIBKT5Unf02rl1ZUoFUp6+/Q27o7qjNb9e2KBcfeTjSXeuEnk1GnYV6pE3vHyjLOfIzf+GXFzt65yY8XuulLNErK2VDK1eWkeRr1m9QnT3iyS2QXHBPP3vb9pJ7Qjr4N+8yykW04vqPCdrt7Tc/l5MrTkqCieDB+ORa5cePy0BIWVldSRzJbc+KfXs7uwcwDkrwBN5kudBtBN+t64dD5+OXyHMHnWL70tC1yGtYU1vXx6mWaHtb8HhQUc/9E0+8smtCoVYcNHoH7xgnxLFmPpYpxz5VmF3PinR2IsbOkCSkto9ytY2kid6J1JzbwBmLVHvvirj3sv77H3/l46lOyAq52raXbq5A6Ve0Hg77pOhMwgns6bz+sLF3Cb8gM2pUpJHcfsyY1/Wmk0uolZnonQdo3ZXbTzzGXPoHrF2HvtCSfvPJM6jtlbFrgMO0s7epTuYdod1xoBlra6qT1lGfbyr+282LSJ3N2749gsbTPlZVdy459Wh6eDuAcazYGiDaRO80l96hShoIs9U3ZdJylZmnKxmYH4XOTAwwN09u5MLlsT3/yTIw9U6QPXtkGEPCV2RsQHBvJk6lTsq1cjz6jvpY6TaciNf1oE/vH/F3hNeCNXWtlaWTC1eWnuRcax7pR8UfFzlgYsxdHKke9KfydNgBrDwNoBjs6RZv9ZQHJUFKFDh2GZJw8eixahsDTK6PUsSW789RVyHnYNgUK1oekCk9/IlVb1S+bhS+88/HzoDk+iE6SOY3aCooI4HHKYrqW74mzjLE0IBxeoNgBu7IQn11JfXvYBrVpN2KhRqF+8wPOXn826dIM5kht/fbwMgT86gZOH7gKvReYYPvZDs9KoNFpm770pdRSzszRgKU7WTnTxlnaILtUHgY0zHJF7/2kV6efH6zNnyffDZGzlC7xpJjf+qUmMhd87QnIidNpitvXYP6WAiz396xZlV2A4Z+5FSR3HbARGBnI89Dg9yvTA0dp4k3brxS6X7g1A3ANhl6XNkonEHjtG1LLlOLduTc62baWOkynJjX9KkpN0NXsibkDbteCWzun8JDSwXlE8c9kxdVcQKrV88RfA/4o/uWxy0alkJ6mj6FQboHsTODJb6iSZQlJoGGFjxmJTsiT5fpgsdZxMS278P0ejgV2D4d5haL4Ein8ldaJ0sbWy4IdmpRCfvuLXM+mdniHruPT0Emcen6FnmZ7YW9lLHUfH1glqDIW7B3XXlmSfpUlKImz4cFCr8fxpCUpbW6kjZVpy4/85h6bC1S1QfxJU6CZ1mgz5qlRe6pZwY8nB29l+zl//AH9c7VxpX7K91FE+VKUv2LvCkVlSJzFrT2fPJuH6dfLPnYN1wYJSx8nU5Mb/U84ug1M/QaVeUGeU1GkyTKFQMKV5KeJVahb+I0odRzLnHp/jwpML9PbpjZ2lndRxPmSTQ3fj1/2j8PCU1GnMUvSuXbz8Ywu5e/XE8csvpY6T6cmN/39d/wv2jwfv5tD0R7Mf0qmvIm456FGzEFsuhnA9LDr1FbIYrVaL3xU/8tjnoW0JM71AWLkX5Min6/1rtVKnMSuJd+7weMpU7CtVIs+IEVLHyRLkxv999w7Djv5QoDq0Xg3KzDUnbmqGfFGc3PbWTPs7CG02a1xOhZ8iIDKAvj59sbEwn1pMH7Cy0xV9Cz6l+wQgA0ATF0fo0GEoHRzIv2ihfCOXgciN/1sPTsDvncC1BHTcDFZZ70KSk60VoxsJXHj4gt1Xs89UglqtFv8r/uR3yE/r4q2ljpOyCt1095PIvf93nkyfQVJwMB4LF2KVR56oyFDkxh/g0TnY3B5yFYRu/9MNu8uivq3kRen8TszZe5P4pOwx6cux0GNcj7pOv3L9sDL3G/SsbHXXmUIvwJ2DUqeR3MudO4n+3/9wHTgQh6pVpI6TpciNf9gl+K0tOObTNfwOJirrKxELpYIpzUsTHp3AiuP3pI5jdBqtBv8Af7wcvWhetLnUcfTj2wVyFsj2vf/E+w94Mn0G9pUr4zrgv7PCyjIqezf+4QGwsZWup//d37o3gGygSuHcNCvrzvJj97L8pC+HHh3i1vNb9C/XHyulmff637K0hrpj4XEAiHulTiMJTWIiYSNHorS2Jv+CH1FYZK3rb+Yg+zb+IedhQwuwcdI1/M4eUicyqfFNvdFqYe6+rFtOWKPVsDRgKYWcCvF14a+ljpM2ZTtA7qK6u3412e/O7Ih580m8dQv3uXOwymvkqTWzqezZ+D84Dr9+o6uq2GOf7lx/NuOR045+dYvyd2A45x88lzqOURx4eIC7L+8y0HcgFplt5JaFJdQbB0+vw83/SZ3GpGIOHuTF5s26iVnq1ZM6TpaV/Rr/O//Cb9/qZuDqsc/sZuIypf51i+DubMu0v4NQa7LWueVkTTJLA5ZSLGcxGhVqJHWc9CnTBlwFXcVPTfa4OK8KC+PxxEnYlilDnpHyeH5jyl6Nf9AO+L2Dbjhn973Z5hz/59hbWzKuSUmCwmPYdilE6jgGtffBXh7GPGSg70CUikz6Mlda6Hr/z0TdzYdZnFalIuz7UaBW47FoIQpra6kjZWmZ9K8iHc4shT97gGcl3Tl+BxepE5mFFuXyU6lgLn48IBKToJI6jkGoNCqWBy6nZO6SfFHgC6njZEypbyBvGTg6F9TJUqcxqshf/IgPCCDf9GlYFyggdZwsL+s3/loN7J8AB96UbOi6E+xySp3KbOjq/pQmKi4Jv8N3pY5jEH/f+5uQVyEM8h2UeXv9bymVUG88PL+nKzSYRcWdPUvUqlU4t22D89eZ7OJ8JpXJ/zJSkZyIxc6+cNYfqvaHb9dnyTt3M8rH05lvK3qy7tQD7kfGSh0nQ1RqFSsCV1DGpQx1PetKHccwSn4N7r5wbB6os8ans/epX74kfOw4rAsWJN+ECVLHlJ/1WAAAE9BJREFUyTaydOOvuHsQi5v/g69mQOO5Wa5WjyGNaiRgY2nBrD2Ze8rH7Xe2Ex4XzqDyg1BkkaJ8KBRQfyK8DIYrm6ROY1BarZbHU6aSHBVF/gULUNqbyRwL2UCWbvy1JRqTNOAC1ByaZapzGkseR1uGNCjGoVsRHBUjpI6TLonqRFZeW4mvmy8189eUOo5hFf8KPCvD8QW6KUWziOgdO3l14ABuw4ZiV6a01HGylSzd+KO0hFyFpE6RaXSvWYhCLvbM2H0jU075uO32NiJeRzC4/OCs0+t/S6GA+hMgJhQubZA6jUEkBQfzdOZM7CtXxqVnT6njZDtZu/GXpYmNpQUTvy7Fvcg4Np97JHWcNIlPjmfV1VVUzleZqu5VpY5jHEXqQ4EacGIhqDJ3WQ6tSkXYmDFgaUn++fPk8g0SkBt/2Qe+9M5DjaIuLPn3NtGvM8/FxS23thCVEMUg30FSRzEehQIaTITYJ3BxrdRpMuTZsuUkBF7FfeoUrNzdpY6TLRml8RcEQSkIwnJBEM4IgnBUEIRi/3l8hCAI5958TTFGBln6KBQKJn7tzct4Fb8cviN1HL3EqeJYe30t1d2rUzFvRanjGFehWlC4LpxcDElxUqdJl9eXL/Ns+XKcW7bEqWlTqeNkW8aaEucbwFYUxeqCIFQDFgItAQRBKAJ0BqoCWuCEIAg7RFG8+rmNabVakpKS0hxCpco8PdfUmPJYirva0aZ8fjaceUj7ivkp6GLYERiGPpaNQRt5kfiCfmX6pet1kl5Svb4Utcdi9WtTks8sQ1N9qEG2aapj0cTGEjZqNJbu7uQeO8Yoz5f8d68fY532qQXsBxBF8SxQ6b3HQoDGoiiqRVHUAFZAgpFyyNJp+BfFsLJQ8uNB8+79v0p6xcZbG6mVvxY+rj5SxzEJrWdlNEW/wOKsHyS+kjpOmkTOnkPykyfknTMbZY4cUsfJ1ozV83cC3p8lXC0IgqUoismiKKqAZ4IgKIAfgSuiKN5OaWMKhQLrDNT5yMi65sZUx+LpYs2AukVZePA2V0JfUbWI4cthGOJYtt7YSkxSDIMrDJbseZZkvw0mwqoGWF9eA3XHGGyzxjyWmP37id29G9eBA3GqYvxZueS/+5QZq+cfAzi+vx9RFN8VJhEEwRb47c0yA42UQZZBvWvrqn7O3HMTjRlW/YxOjObXG7/SwKsBpV2y2Rhxj4ogNIXTfhD/Quo0qUqOjOTJ1GnY+vjgOnCA1HFkGK/xPwU0BXhzzv/a2wfe9Pj/BwSKothPFMXsUas2E7KztmBMY4FrYdHsDAiTOs5HNgRtIFYVy0DfbNp/qD8BEqN1RQvNmFar5fHkH9DEx5N/3lwUlsY64SBLC2M9CzuArwRBOA0o+L/27jw+ijJN4Pivu3OTgxAgiYCgHC8gl64gikpGURQGddR1dQREZWBcVFZmFAIyiAq6Xh9BBBYGr0XddURlVPAGFNRB0aBAeCEcyhECQa4YcnbNH9VhAnSO7nR1pVPP9x+6u6rf93l5009VV9f7vnC7UmoCkAd4gIFArFLqat/+2VrrryyKRTTAtb3b8NKanTzxgebqHpnExzSO+7EPlRzi1dxXGdxhMKqFsjsce2T0hO7XwtfzoP9dkNDC7oj8OvLWWxStXEl69iRizz7b7nCEjyXJ3/dD7qkrLldfL1BmV4sQbreLB3/bnX+f/xULPt/O+EGd7Q4JgBc3vMjxiuPc1dvhlxCysmHT32HNLLhiut3RnKZs9x4KZj5GQr9+pI4YYXc4ohoZ5CXq1LdDC4b0zGD+qm0UHLX/xqzC44W8vvl1hpw9hI7NO9odjr1ad4OeN8LaBVDUuOZkMrxe8n2zdGbOnInLLemmMZHeEPUy8aquVHoNnvpQ2x0Ki35cRLm3XM76qwycCBUlsPpZuyM5yaHFiyleu5b07EnEtG1jdzjiFJL8Rb20T2vGqAEdePO73WzYc6TuN1ik4NcC3tBvMKzjMNont7ctjkalZWfodTN8uwiO5tsdDQCl27ez/+lnSBw4kJQbbrA7HOGHJH9Rb+N+04nUhBhmvJ+LYdhz6+fCHxfiNbyM7TXWlvobrYEPgLfCnPTNZkZFBXsnZeOOjyfz0Uea3gyrTYQkf1FvKfHR3DeoM19tP8gnueG/vry3aC9Lti7hus7X0Tapbdjrb9RanAV9boXvXobDu2wN5eDChZT88AMZD00jqlUrW2MRNZPkLwJyS78z6dQ6kZnLcimrCO+c/wt+WIALl5z11+TS+81/v3jKthBKNm3iwPNzSR46lOSrrrItDlE3Sf4iIFEeN1OGdGNH4a8s/vqnsNW769guluYt5cYuN5LRLCNs9UaU5u3gvNvMpR5/2RH26r1lZeydOImo1FQypj4Y9vpFYCT5i4BlqVZc0rklsz7dyuHi8MyiOX/9fDxuD6N7jg5LfRHrkj+BywOfPxn2qgvnPE/p1q1kzngUT/PmYa9fBEaSvwhY1Zz/x0rKmf1pnuX17Tiyg/e2v8dN6iZaJ7S2vL6IlpwJfe+E9a9DofV9U+X4ho0cXLSIlBuuJ/HSS8NWrwieJH8RlK4ZyfxH33a88tVOth8osrSu+evnE+uJ5c4ed1paT5Nx8X0QFQerHg9LdUZZGfmTJxOVlkb6xIlhqVM0nCR/EbQJVyhio9w8vnxz3TsHKe9QHst3LOeWrreQFh/6aaWbpMTW0O8P8OObsN+6vqlSOP9/KN2yhYyHp+NJTra8PhEakvxF0FolxfKfv+nER5sK+GrbQUvqmLt+LvFR8Yw6Z5Ql5TdZF42HmGaw8jFLqynJzaVwwQJSrr2GpKwsS+sSoSXJXzTInRefRZvm8cxYtinkc/5v/mUzH//0McO7Dyc1LjWkZTd5zdLMmT43vQP7fqx7/yAY5eXsnTwFT2pz0rOzLalDWEeSv2iQuGgP9w9WbNhzlKXrQzvn/9ycuSRFJzGy+8iQlusYF46D2BRYYc3Z/8G//pXS3Fwyp02Tu3sikCR/0WDX9D6Dnm1SePIDTUl5aNbm2Vi4kRW7VjDynJGkxKaEpEzHiU81DwD6fdjzXUiLLtmyhQNz55E8ZAhJgwaFtGwRHpL8RYO53S4mD+nG3iMlLFodmsFFc3LmkBKbwvBuw0NSnmP1v8s8CKyYGbIijYoK8rMn40lKIl0Gc0UsSf4iJC7smMagbunMW7mNwqLSBpWVsz+H1XtWM+qcUSTGJIYoQoeKS4aL7oW8j2HX2pAUefCFFynZuJGMv0wlKlV+i4lUkvxFyGQP6crx8kpmfbK1QeXMyZlDi7gW/L7r70MUmcP1GwMJLWHFjAYXVbptG4XPPUfSlVfK3D0RTpK/CJmOrRK59YIzeW3tz+TtPxZUGd/s+4Z/5P+DO3rcQUJ0QogjdKjYRHPg1/aVsHNN0MUYlZXkT56Cu1kzMv4yNXTxCVtI8hchNf7yziREe4Ia+GUYBs/nPE/L+JbcpG6yIDoH63snJGaYZ/9BrsXwy8uvcHz9etKnTCGqZcsQByjCTZK/CKm0RHPg1ye5+/lyW2FA7/06/2vWFaxjdM/RxEfFWxShQ0XHm5O+/bTG/AYQoLKdOzkwaxaJl11G8m+Hhj4+EXaS/EXI3T6gA22axzNzWW69B34ZhsGcnDmkJ6RzY5cbLY7Qoc4bCcltAj77N7xe8h+ciis2loyHpsnKXE2EJH8RctUHfr2TU7+BX6v3rOaHAz8wptcYYj2xFkfoUNFxcOmfYfc3sPXjer/t8BtvUPztt6RPnEh0a5lVtamQ5C8scU3vM+jVNoUnP6x74FfVtf42iW34XaffhSlCh+ozHJqfWe+z//J9+9j/5FM0u+hCUq6XvmlKJPkLS1QN/Mqvx8Cvz37+jI0HNzK211iiPdFhitChomJg4ETIzwG9rNZdDcNg37SHMLxeMqZPl8s9TYwkf2GZ/mencUX3dOauyOPAMf8Dvyq9lczJmUOH5A4M6zgszBE6VK+boUVHc9Svt+Z1mI++v4yiVatoNf5eYtq1C2OAIhwk+QtLTbq6K6UVXmZ9usXv9uU7l5N3OI9xfcYR5Y4Kc3QO5YmCrElQsAFyl/rdpeLQIQpmzCCuVy9ajBgR5gBFOEjyF5aqGvj1+tpdpw38KveWMzdnLipVcWWHK22K0KF63AAtlTnjp/f032QKZj5GZVERmY8+gsvjsSFAYTVJ/sJy9/oGfj227OSBX0vzlrLr2C7uPvdu3C75Uwwrt8c8+y/UsGHJSZuOrVzJ0XffpeWYMcR16WJTgMJq8okTlqsa+PXp5v18mWcO/CqtLGX++vn0bNmTgW0H2hyhQ3W/DtJ7wMrHwVsBQGVREfumP0xs506kjR1jc4DCSpL8RVhUDfya4Rv4tSRvCQXFBdxz7j1yF4ld3G7IyoZftuHe8DcADjzzDBX79pH5yCO4Y2JsDlBYyZJf2JRSbmAu0BsoBUZrrfOqbf8DMBaoAB7VWr9nRRyi8YiL9vDAVYrx/5fD4m81r+x+gb4Zfemf2d/u0Jyt61DI7IPniyf59fiZHHrtdVrcNpL4Pn3sjkxYzKoz/+uAOK31hcAk4OmqDUqpDOBeYAAwGHhMKSVDOh1gWK8zOP+sZjy7/gmOlB7h/vPvl7N+u7lcMHgG5bv3UjDhPqLbtaPV+PF2RyXCwKp76y4GPgDQWn+tlDq/2rZ+wBqtdSlQqpTKA3oB39RUmGEYlJWVBRzEhs/f4fCMmbgrq49kPGVUYwjWHHcZYARQUE3p7rQSqr3gqnmvmoVyPfUagqstdfur/m7DvK/cqIxn3+zRFODC5aq9nEAPD64gGh7wISiImTGDOswFWE8wbfd4K0kqSccVdZw2A3IofqITpa4Yyok+UZpxInqX7/mpr/vZ5nL52ScMqgJoAucVZa5YKoc+x9k9+oa8bKuSfzJwpNrzSqVUlNa6ws+2Y4Ali7TGp7ZiT9s0XJUnD2Sp828imLNRP++p9ZV6V+Hb0TAwXPg9U3bVUtiJz8Fpu9QjgDr+H6q2Vk83dZ3JR7ujSY5Oo6g4jtJKL5Veg0qvcVKO85e+akppNeVGI6gPfmBvOlG11d9eAiw/0GTrdbs5ltwC46x42sX9TIy3lGijlGjj5BOuEwcW4/QDv6va4eDkfQMKJUTqn/2DOViGU6U7hlaJSZaUbVXyPwpUj9jtS/z+tiUBh2srzOVyERPEj08dew6g46LlQb23san65iNtaTyaSjtA2tJYWdkWq675rwGGACil+gM/Vtu2FrhEKRWnlEoBugEbLIpDCCGEH1ad+b8NXKGU+hLzu9ftSqkJQJ7W+u9KqdnAF5gHnyla6xKL4hBCCOGHJclfa+0F/njKy5urbV8ILLSibiGEEHWTQV5CCOFAkvyFEMKBJPkLIYQDSfIXQggHkuQvhBAOFBFLJxUXFxeuW7fuJ7vjEEKICNO+pg0uI4g5SoQQQkQ2uewjhBAOJMlfCCEcSJK/EEI4kCR/IYRwIEn+QgjhQJL8hRDCgSLiPv9g1LWIfKRRSn3Pv1ZA26G1vt3OeAKllLoA+G+tdZZSqhPwEuaSSxuAcb6ZYCPCKW05D3gX2OrbPE9r/f/2RVc/Sqlo4AWgAxALPApsIgL7pYa27CYy+8WDOeOxAiqB2zGnxX+JEPdLk03+VFtE3regzNPAtTbHFBSlVByA1jrL5lCCopR6ABgB/Op76RngQa31SqXUfMx+eduu+ALhpy3nAc9orZ+2L6qgDAcOaq1HKKXSgO+BHCKzX/y15WEis1+GAWitByilsjA/Ky4s6JemfNnnpEXkgfNr371R6w0kKKU+Ukp95juYRZJtwPXVnv8bsMr3eDkwKOwRBc9fW4YqpT5XSi1SSlmz4Gro/Q2YWu15BZHbLzW1JeL6RWv9DjDG97Q9UIBF/dKUk7/fReTtCqaBioGngMGYi+S8Gklt0VovAcqrveTSWlcNLT8GpIQ/quD4acta4H6t9aXAdmCaLYEFSGtdpLU+5kuKbwIPEqH9UkNbIrJfALTWFUqpl4HnMNtjSb805eRf2yLykWYLsFhrbWittwAHgUybY2qI6tcrk4DDdgUSAm9rrddVPQbOtTOYQCil2gErgP/VWr9GBPeLn7ZEbL8AaK1vA7pgXv+Pr7YpZP3SlJN/bYvIR5o7MH+zQCl1Bua3mnxbI2qY733XMwGuxlzPOVJ9qJTq53t8ObCutp0bC6VUOvARMFFr/YLv5YjslxraEqn9MkIple17Wox5QP7Win6JmEsHQThtEXmb42mIRcBLSqnVmL/43xHB32IA/gQsVErFALmYX20j1V3AHKVUGbCPf12vbewmA6nAVKVU1fXy8cDsCOwXf22ZADwbgf3yFvCiUupzIBr4L8y+CPnnRWb1FEIIB2rKl32EEELUQJK/EEI4kCR/IYRwIEn+QgjhQJL8hRDCgZryrZ5CBE0p9TTmsPoMIAFzlGg58IXW+mE7YxMiFORWTyFqoZQaBXTVWk+yOxYhQknO/IWoJ98oyz9qrW9WSuUBXwKdgc8w51vpB2jf7JLtgAVAHFACjNFa77InciFOJ8lfiOB0AC7DnGbjF+AC4B5gu1KqOeZEfLO11suVUpcDjwO32hSrEKeR5C9EcA5qrX8GUEr9qrXe5Ht8BPNsvycwWSk1EXN6kTLbIhXCD7nbR4jg1PVj2WbMicaygLFEzjw5wiHkzF8Ia/wZmOdbhS0ec9I0IRoNudtHCCEcSC77CCGEA0nyF0IIB5LkL4QQDiTJXwghHEiSvxBCOJAkfyGEcCBJ/kII4UD/BM3kC5cHFb6fAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bl.plot_fractions()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-07-02T18:10:25.267454Z",
     "start_time": "2020-07-02T18:10:24.917810Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f92b893dc50>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "ax2 = ax1.twinx()\n",
    "ax1.plot(bl.time, bl.pH['concentration'][0], 'k-.', lw=3, label='pH')\n",
    "ax2.plot(bl.time, np.log10(bl.H3PO4['concentration'][0]), label='H3PO4', lw=3)\n",
    "ax2.plot(bl.time, np.log10(bl.H2PO4['concentration'][0]), label='H2PO4', lw=3)\n",
    "ax2.plot(bl.time, np.log10(bl.HPO4['concentration'][0]), label='HPO4', lw=3)\n",
    "ax2.plot(bl.time, np.log10(bl.PO4['concentration'][0]), label='PO4', lw=3)\n",
    "ax1.set_ylim(0,14)\n",
    "ax2.set_ylim(-6,-1)\n",
    "ax1.grid(lw=0.2)\n",
    "ax2.grid(lw=0.2)\n",
    "ax1.set_xlabel('Time, [T]')\n",
    "ax1.set_xlim(0,30)\n",
    "ax1.set_ylabel('pH')\n",
    "ax2.set_ylabel('log (C)')\n",
    "ax2.legend(loc=4, frameon=1)\n",
    "ax1.legend(loc=3, frameon=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
